9 citations · 25 across the 11 of their papers we have counts for
13 papers · 1 filter
Lie symmetry method for a nonlinear heat-diffusion equation
Julieta Bollati, Ernesto A. Borrego Rodriguez, Adriana C. Briozzo
We investigate the nonlinear heat-diffusion equation \( C(u)\,\frac{\partial u}{\partial t} = \frac{\partial}{\partial x}\!\left( K(u)\,\frac{\partial u}{\partial x} \right) \), wh…
Relationship among solutions for three-phase change problems with Robin, Dirichlet, and Neumann boundary conditions
Julieta Bollati, María Fernanda Natale, José Abel Semitiel +1
This study investigates the melting process of a three-phase Stefan problem in a semi-infinite material, imposing a convective boundary condition at the fixed face. By employing a…
A class of moving boundary problems with an exponential source term
Julieta Bollati, Ernesto A. Borrego Rodriguez, Adriana C. Briozzo +1
This work investigates a class of moving boundary problems related to a nonlinear evolution equation featuring an exponential source term. We establish a connection to Stefan-type…
Mathematical modelling of heat transfer in closed electrical contacts and electrical potential field dynamics with Thomson effect
Targyn A. Nauryz, Stanislav N. Kharin, Adriana C. Briozzo +1
In this study we develop a mathematical model that describe the behavior of electromagnetic fields and heat transfer in closed electrical contacts that arises when instantaneous ex…
Mathematical model of thermal phenomena of closure electrical contact with Joule heat source and nonlinear thermal coefficients
Julieta Bollati, Adriana C. Briozzo, Stanislav N. Kharin +1
The mathematical model describing the dynamics of closed contact heating which involves vaporization of the metal when instantaneous explosion of micro-asperity occurs is presented…
Mathematical modeling of heat process in a cylindrical domain with nonlinear thermal coefficients and a heat source on the axis
Julieta Bollati, Adriana C. Briozzo, Stanislav N. Kharin +1
A mathematical model of the heat process in one-dimensional domain governed by a cylindrical heat equation with a heat source on the axis and nonlinear thermal coefficients i…